%0 Journal Article %T Quantum Mechanics Approach for Risk Aversion, Prudence, and Temperance %A Miwaka Yamashita %J Journal of Mathematical Finance %P 130-142 %@ 2162-2442 %D 2024 %I Scientific Research Publishing %R 10.4236/jmf.2024.141007 %X
The ideas from quantum mechanics (QM) have been used as one of problem-solving methods in the field of economics, especially in game theory and decision theory, starting about ¡°coin flip¡± and ¡°prisoner¡¯s dilemma¡± and now days ¡°decision paradoxes¡±. In this paper, the concept of QM is applied to prudence and temperance. Classically, risk aversion, prudence, and temperance are characterized by the risk attitude toward losses and its volatility (variance), skewness, and kurtosis as well as by utility theory, where derivatives of the utility are related to risk aversion, prudence, and temperance. Here those are treated as decision paradoxes and in the QM model, probabilities of alternatives are tentatively set as unknown and a person¡¯s subjective probabilities toward the alternatives are set as parameterized. Investigating the utility difference before averaging can show the difference among risk aversion, prudence, and temperance. In that sense, a new QM interpretation of risk aversion, prudence, and temperance as opposed to the classical interpretation was founded in the first time.
%K Quantum Mechanics %K Risk Aversion %K Prudence %K Temperance %K Utility %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=131531